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Two large containers X and Y contain many colored beads. From a random sample of beads taken from container X, the proportion of blue beads in the sample was recorded as pₓ = 0.35. From a random sample of beads taken from container Y, the proportion of blue beads in the sample was recorded as pᵧ = 0.39. Assuming all conditions for inference are met, which of the following procedures is the most appropriate for estimating the difference between the proportions of all blue beads in the containers?
Two large containers X and Y contain many colored beads. From a random sample of beads taken from container X, the proportion of blue beads in the sample was recorded as pₓ = 0.35. From a random sample of beads taken from container Y, the proportion of blue beads in the sample was recorded as pᵧ = 0.39. Assuming all conditions for inference are met, which of the following procedures is the most appropriate for estimating the difference between the proportions of all blue beads in the containers? A) A two-sample interval for difference in population proportions
B) A two-sample interval for a difference in sample proportions
C) A one-sample interval for population proportion
D) A one-sample interval for sample proportion
E) A one-sample interval for difference in population proportions
The most appropriate procedure for estimating the difference between the proportions of blue beads in two containers is a. a two-sample interval for difference in population proportions.The appropriate procedure for estimating the difference between the proportions of all blue beads in the two containers is a two-sample interval for difference in population proportions. This statistical method is used to estimate the difference between two independent population proportions, in this case, the proportion of blue beads in container X and container Y. You assume that both samples are independent and that the sample proportions are normal approximations of the binomial distribution for each container's population of blue beads. The variance of the difference in the two proportions is calculated by adding the variances from the two independent populations. You then construct a confidence interval to estimate the true difference in population proportions....